{"id":"https://openalex.org/W1998911560","doi":"https://doi.org/10.1305/ndjfl/1093635085","title":"Some compactness results for modal logic.","display_name":"Some compactness results for modal logic.","publication_year":1989,"publication_date":"1989-03-01","ids":{"openalex":"https://openalex.org/W1998911560","doi":"https://doi.org/10.1305/ndjfl/1093635085","mag":"1998911560"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093635085","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635085","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-2/Some-compactness-results-for-modal-logic/10.1305/ndjfl/1093635085.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-2/Some-compactness-results-for-modal-logic/10.1305/ndjfl/1093635085.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075500225","display_name":"George F. Schumm","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"George F. Schumm","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075500225"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.11063404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9233999848365784,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.7269743084907532},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6564098596572876},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6296514272689819},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43140920996665955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3711152672767639},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16384994983673096},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.14575517177581787},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.07027441263198853}],"concepts":[{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.7269743084907532},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6564098596572876},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6296514272689819},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43140920996665955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3711152672767639},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16384994983673096},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.14575517177581787},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.07027441263198853}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093635085","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635085","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-2/Some-compactness-results-for-modal-logic/10.1305/ndjfl/1093635085.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1093635085","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093635085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1305/ndjfl/1093635085","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635085","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-2/Some-compactness-results-for-modal-logic/10.1305/ndjfl/1093635085.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998911560.pdf","grobid_xml":"https://content.openalex.org/works/W1998911560.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W5268957","https://openalex.org/W142265594","https://openalex.org/W1505410541","https://openalex.org/W1570374618","https://openalex.org/W1600348701","https://openalex.org/W1998828186","https://openalex.org/W2008952614","https://openalex.org/W2161004731","https://openalex.org/W6605760009","https://openalex.org/W6650103272","https://openalex.org/W6652332139","https://openalex.org/W6683579110","https://openalex.org/W7039293837","https://openalex.org/W7039371564"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2121543990","https://openalex.org/W1981078319","https://openalex.org/W2402800040","https://openalex.org/W2028144918","https://openalex.org/W3016746667","https://openalex.org/W1587059467","https://openalex.org/W119381390","https://openalex.org/W2962420748"],"abstract_inverted_index":{"A":[0],"modal":[1],"logic":[2],"L":[3],"is":[4,34],"said":[5],"to":[6],"be":[7],"compact":[8,27,41],"if":[9],"every":[10],"L-consistent":[11],"set":[12],"of":[13,26],"formulas":[14],"has":[15],"a":[16,19],"model":[17],"on":[18],"frame":[20],"for":[21],"L.":[22],"Some":[23],"large":[24],"classes":[25],"(noncompact)":[28,42],"logics":[29],"are":[30,38],"identified,":[31],"and":[32],"it":[33],"shown":[35],"that":[36],"there":[37],"uncountably":[39],"many":[40],"logics.":[43]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}